0436431 20240111140855.620141201235959.9 23 s. P 3526 cav_un_epca*0433965978-1-4200-7366-914.1-14.21Boca RatonCRC Press2011LewineWilian S. Riccati equation optimal control solution cav_un_auth*0101144 Kučera Vladimír Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2011/TR/kucera-0436431.pdf 241 kB 1M0567 GA MŠk CZ cav_un_auth*0202350 CEZ:AV0Z10750506 A Riccati equation, deriving its name from Jacopo Francesco, Count Riccati (1676–1754) [1], who studied a particular case of this equation from 1719 to 1724. For several reasons, a differential equation of the form of Equation 14.1, and generalizations thereof comprise a highly significant class of nonlinear ordinary differential equations. First, they are intimately related to ordinary linear homogeneous differential equations of the second order. Second, the solutions of Equation 14.1 possess a very particular structure in that the general solution is a fractional linear function in the constant of integration. In applications, Riccati differential equations appear in the classical problems of the calculus of variations and in the associated disciplines of optimal control and filtering 2015 BC 1 4 A 4a 20231122140648.8 RVO:67985556 http://hdl.handle.net/11104/0240183 cav_un_auth*0298829 České vysoké učení technické v Praze, Fakulta elektrotechnická CZ S 2011 Soubory v repozitáři: kucera-0436431.pdf 241 kB cav_un_epca*0433965 The Control Handbook, Second Edition: Control System Advanced Methods 978-1-4200-7366-9 14.1 14.21 Boca Raton CRC Press 2011 Control System Advanced Methods Electrical Engineering Handbook Lewine Wilian S. 340